Fixed points and random fixed points for α-Lipschitzian maps

Donal O'Regan

doi:10.1016/S0362-546X(98)00071-6

Fixed points and random fixed points for α-Lipschitzian maps

Donal O'Regan

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

1 Citation (Scopus)

Abstract

New fixed point theory and random fixed point theory for single-value maps are presented. Fixed point theorems are derived for the 1-set contractive map F:Q→E, where E is the Hilbert space or the Hilbert space and Q is a closed convex subset of E. Based on these theorems, some new random fixed point theorems are established.

Original language	English
Pages (from-to)	537-544
Number of pages	8
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	37
Issue number	4
DOIs	https://doi.org/10.1016/S0362-546X(98)00071-6
Publication status	Published - Aug 1999

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title = "Fixed points and random fixed points for α-Lipschitzian maps",

abstract = "New fixed point theory and random fixed point theory for single-value maps are presented. Fixed point theorems are derived for the 1-set contractive map F:Q→E, where E is the Hilbert space or the Hilbert space and Q is a closed convex subset of E. Based on these theorems, some new random fixed point theorems are established.",

author = "Donal O'Regan",

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AB - New fixed point theory and random fixed point theory for single-value maps are presented. Fixed point theorems are derived for the 1-set contractive map F:Q→E, where E is the Hilbert space or the Hilbert space and Q is a closed convex subset of E. Based on these theorems, some new random fixed point theorems are established.

UR - https://www.scopus.com/pages/publications/0033177849

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DO - 10.1016/S0362-546X(98)00071-6

M3 - Article

AN - SCOPUS:0033177849

SN - 0362-546X

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EP - 544

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 4

ER -

Fixed points and random fixed points for α-Lipschitzian maps

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